login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A292311
Expansion of Product_{k>=1} 1/(1 + k^k*x^k).
2
1, -1, -3, -24, -216, -2801, -42166, -762397, -15685040, -366477168, -9523974486, -273453483050, -8583651341879, -292700900034984, -10770969729108326, -425541512224476567, -17964544188354355022, -807097409926675847400
OFFSET
0,3
LINKS
FORMULA
Convolution inverse of A265949.
a(n) ~ -n^n * (1 - exp(-1)/n - (exp(-1)/2 + 3*exp(-2))/n^2). - Vaclav Kotesovec, Sep 14 2017
PROG
(PARI) {a(n) = polcoeff(1/prod(k=1, n, 1+k^k*x^k+x*O(x^n)), n)}
CROSSREFS
Sequence in context: A232692 A000279 A370443 * A370986 A279973 A274737
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 14 2017
STATUS
approved